The magnitude of the resultant vectors is 20.4 units and the direction of the vectors is 79⁰.
<h3>
Magnitude of the resultant vector</h3>
Sum of vectors in x direction, ∑X = 5 - 1 = 4
Sum of the vectors in y direction, ∑Y = 6 + 14 = 20
Resultant vector = √(∑X² + ∑Y²)
Resultant vector = √(4² + 20²) = 20.4 units
<h3>Direction of the vector</h3>
θ = arc tan (ΣY/ΣX)
θ = arc tan (20/4)
θ = arc tan (5)
θ = 78.7⁰
θ ≈ 79⁰
Thus, the magnitude of the resultant vectors is 20.4 units and the direction of the vectors is 79⁰.
Learn more about resultant vectors here: brainly.com/question/19802988
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Answer:
→ 1 hour : 16/21 dresses
Step-by-step explanation:
you can simplify if you want!
domain represents the x values so for example in a diagonal line that continues infinitely, the domain is all real numbers or (-infinity, infinity)
range represents y values so it would also be all real numbers or (-infinity, infinity)
let’s say there is a line (refer to pic) that moves ONLY from point (-3, -1) and (2, 2)
the domain would be [-3, 2]
we use brackets because it’s a real number unlike infinity (also because it’s a closed circle on the graph; if the graph had an open circle you would use a parenthesis)
and the range would be [-1, 2]
if you have any more questions about this explanation feel free to ask!
Answer:
Move the center of circle A to (1,7), then multiply its radius by 3.
Step-by-step explanation:
Moving the circles to the same center would make them concentric. Then, by multiplying the radius of Circle A by 3, the circle is dilated to the exact size of circle B, since its radius is 9. This shows that Circle B is proportional to Circle A, thus they are similar.
Answer:
(a) $7492
(b) $10,253
(c) $14,032
Step-by-step explanation:
As we know, the final Amount can be calculated with the formula for compound interest,
A = P(1 + \frac{r}{n} )^{nt}
where,
A = Final Amount due
P = Initial principal amount borrowed
r = rate of interest in decimal
n = number of times applied per time period
t = total time period
Now, according to the given data,
(a) in 4 years ;-
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⇒
(b) in 6 years ;-
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⇒
(c) in 8 years ;-
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